Latest ssc Aptitude Question SOLUTION: ram can do a work in 36 days, Shyam in 54 days, and Mohan in 72 days. they started working together but before the work was to over Ram left 8 days before and 12 days before Shyam.

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(#M40032345) SSC Numerical Ability question time and work Keep an EYE

ram can do a work in 36 days, Shyam in 54 days, and Mohan in 72 days. they started working together but before the work was to over Ram left 8 days before and 12 days before Shyam. In how many days Mohan will complete the work alone?

Asked In ssc upendra singh chahar (10 years ago)

Solved Akanksha Mishra Read Solution (5)

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DHAKAD NEETENDRA SINGH  (10 years ago)

ANS. 24 days
x/72+(x-8)/36+(x-12)/54=1
so
x=24 ans...

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Akanksha Mishra  (10 years ago)

ram can do a work :36 days
Shyam can do a work : 54 days
Mohan can do a work : 72 days
total unit of work : 216(LCM of 36,54 and 72)
ram can do unit of work per day:6(216/36)
Shyam can do unit of work per day:4(216/54)
Mohan can do unit of work per day:3(216/72)
so equation is: 6*(x-8)(Ram left 8 days before)+4*(x-12)(Shyam left 8 days before)+3*x=216
6*(x-8)+4*(x-12)+3*x=216 => x=24
ans:Mohan will complete the work alone:24 days

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Komala.G  (10 years ago)

Ram 36 days, Shyam 54 days, Mohan 72 days
Total work to be done 216(Total work done by them must be divisible by 36,54,72)
worker work/day
Ram 216/36 = 6
Shyam 216/54 = 4
Mohan 216/72 = 3
Ram left 8 days before the completion of work 8*3 = 24
Shyam 12 days (12-8) left 4 days before Ram 4*9 =36
they worked 12 days together
mohan can alone complete work for 24 days

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Leelanand Kumar Yalla  (10 years ago)

24 days mohan works...

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srivani  (10 years ago)

P > 883 P − 7 > 876 The smallest number after 876 that is a multiple of 11 is 880 = 11*80 So P = 11k 7, for some integer k ≥ 80 (P 4)(P 15) = (11k 7 4) (11k 7 15) = (11k 11) (11k 22) = 11(k 1) * 11 (k 2) = 121 (k 1)(k 2) Now when k is even, then k 2 is even, so (k 1)(k 2) is even and when k is odd, then k 1 is even, so (k 1)(k 2) is even (k 1) (k 2) = 2n, for some integer n (P 4)(P 15) = 121 (k 1)(k 2) = 121 * 2n = 242n Answer: 3: 242

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